M.M. Blane, Z. Lei, and D.B. Cooper, “The 3L algorithm for fitting implicit polynomial curves and surfaces to data,” Brown University LEMS Lab. Technical Report, No. 160, Feb. 1997.
J.A. Dieudonn'e and J.B. Carrell, Invariant Theory, Old and New, Academic Press, 1971.
L.J.V. Gool, T. Moons, E. Pauvels, and A. Oosterlinck, “Foundations of semi-differential invariants,” Int. Journal of Computer Vision, Jan. 1993.
J.H. Grace and A. Young, The Algebra of Invariants, Cambridge Univ. Press, 1903.
G.B. Gurevich, Foundations of the Theory of Algebraic Invariants, P. Noordhoff, 1964.
D. Hilbert, Theory of Algebraic Invariants, Cambridge University Press, 1993.
C.M. Hoffman, “Implicit curves and surfaces in CAGD,” IEEE Computer Graphics and Applications, January 1993.
D. Keren, “Using symbolic computation to find algebraic invariants,” IEEE Transactions on Pattern Analysis and Machine Intelligence
, Vol. 16, No. 11, pp. 1143-1149, 1994.CrossRefGoogle Scholar
J.P.S. Kung and G.-C. Rota, “Invariant theory of binary forms,” Bull. of the Amer. Math. Soc
., Vol. 10, No. 1, pp. 26-85, 1984.Google Scholar
Z. Lei and H. Civi, “Closed-form object pose estimation using algebraic shape representation,” Brown University LEMS Lab. Technical Report, No. 161, March 1997.
Z. Lei, H. Civi, and D.B. Cooper, “Free-form object modeling and inspection,” in Proceedings, Automated Optical Inspection for Industry, SPIE's Photonics China' 96, Beijing, China, Nov. 1996.
J.L. Mundy and A. Zisserman, Geometric Invariance in Machine Vision, MIT Press, 1992.
P. Olver, G. Shapiro, and A. Tennenbaum, “Differential invariant signatures and flows in computer vision: A symmetry group approach,” in Geometry-Driven Diffusion in Computer Vision, B.M.H. Romeny (Ed.), Kluwer Academic Press, 1995.
J. Ponce, D.J. Kriegman, S. Petitjean, S. Sullivan, G. Taubin, and B. Vijayakumar, “Representations and algorithms for 3D curved object recognition,” in Three-Dimensional Object Recognition Systems, A.K. Jain and P.J. Flynn (eds.), Elsevier Science Publishers, 1993, pp. 327-352.
G. Rayna, REDUCE: Software for Algebraic Computation, Springer-Verlag, 1987.
L.S. Shapiro, A. Zisserman, and M. Brady, “3D motion recovery via affine epipolar geometry,” Int. Journal of Computer Vision
, Vol. 16, pp. 147-182, 1995.Google Scholar
B. Sturmfels, Algorithms in Invariant Theory, Springer-Verlag, 1993.
J. Subrahmonia, D.B. Cooper, and D. Keren, “Practical reliable bayesian recognition of 2D and 3D objects using implicit polynomials and algebraic invariants,” IEEE Transactions on Pattern Analysis and Machine Intelligence, May 1996, pp. 505-519.
G. Taubin and D.B. Cooper, “2D and 3D object recognition and positioning with algebraic invariants and covariants,” in Symbolic and Numerical Comput. for Artif. Intelligence, B.R. Donald, D. Kapur, and J.L. Mundy (Eds.), Academic Press, 1992.
I. Weiss, “Geometric invariants and object recognition,” Int. Journal of Computer Vision
, Vol. 10, No. 3, pp. 207-231, 1993.Google Scholar